We use absolute value in square root operations because the square of a positive number is the same as the square of the same negative number, so when you take the square root of a number, it could be the positive or negative version of that number, depending on what you are looking for. So the solution to your first problem is:

We use absolute value in square root operations because the square of a positive number is the same as the square of the same negative number, so when you take the square root of a number, it could be the positive or negative version of that number, depending on what you are looking for. So the solution to your first problem is:

This is all right. However, there is one more thing I would like to add on the subject of absolute value signs. They are only needed when there is an odd power or a subtraction happening, because anything raised to an even power will be positive. So in this case, we can just write